## Bickel, Peter John

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 Author ID: bickel.peter-john Published as: Bickel, Peter J.; Bickel, P. J.; Bickel, Peter; Bickel, P.; Bickel, Peter John more...less Homepage: http://www.stat.berkeley.edu/~bickel/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 191 Publications since 1964, including 10 Books 2 Contributions as Editor · 4 Further Contributions Biographic References: 2 Publications Co-Authors: 154 Co-Authors with 164 Joint Publications 4,517 Co-Co-Authors
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### Co-Authors

 32 single-authored 25 Ritov, Ya’acov 13 van Zwet, Willem Rutger 12 Yahav, Joseph A. 10 Levina, Elizaveta 7 Doksum, Kjell A. 7 Götze, Friedrich 7 Lehmann, Erich Leo 6 Chen, Aiyou 5 Huang, Haiyan 4 Bühlmann, Peter 4 Rosenblatt, Murray 4 Sakov, Anat 4 Zhu, Ji 3 Bahadur, Raghu Raj 3 Boley, Nathan 3 Brown, James B. 3 Chibisov, Dmitriĭ Mikhaĭlovich 3 Freedman, David A. 3 Hodges, Joseph L. jun. 3 Klaassen, Chris A. J. 3 Kwon, Jaimyoung 3 Rice, John A. 3 Rydén, Tobias 3 Sarkar, Purnamrita 3 Stoker, Thomas M. 3 Wang, Ying Xiang Rachel 3 Wellner, Jon August 2 Albers, Willem 2 Bhattacharyya, Sharmodeep 2 Eisen, Michael B. 2 El Karoui, Noureddine 2 Fan, Jianqing 2 Hall, Peter Gavin 2 Herzberg, Agnes Margaret 2 Huber, Peter Jost 2 Kechris, Katherina J. 2 Kleijn, Bas J. K. 2 Krieger, Abba M. 2 Lei, Lihua 2 Li, Bo 2 Li, Qunhua 2 Nair, Vijayan N. 2 Olshen, Richard Allen 2 Ren, Jian-Jian 2 Rothman, Adam J. 2 Samworth, Richard J. 2 van Zwet, Erik W. 1 Adragni, Kofi Placid 1 Aït-Sahalia, Yacine 1 Amini, Arash Ali 1 Anagnostopoulos, Christoforos 1 Andrews, David F. 1 Aswani, Anil 1 Atherton, Juli 1 Bai, Chongen 1 Baxter, Paul D. 1 Bean, Derek 1 Bengtsson, Thomas 1 Berk, Richard A. 1 Berk, Robert H. 1 Besag, Julian 1 Bhattacharjee, Manish C. 1 Biggin, Mark D. 1 Blackwell, David Harold 1 Bottolo, Leonardo 1 Breiman, Leo 1 Brillinger, David R. 1 Brons, Hans K. 1 Brown, Ben 1 Brown, James Bentley 1 Buyske, Steven G. 1 Cai, Mu 1 Campbell, Katherine 1 Chang, Huahua 1 Chang, Xiangyu 1 Chen, Chao 1 Chen, Hanfeng 1 Chen, Jiahua 1 Chen, Mengjie 1 Chen, Yunshun 1 Chernoff, Herman 1 Choi, David S. 1 Chuang, Chin-Shan 1 Chung, Dongjun 1 Collado Torres, Leonardo 1 Collins, John R. 1 Cook, Ralph Dennis 1 Cosman, Pamela C. 1 Datta, Somnath 1 Datta, Susmita 1 Davidson, Stuart M. 1 de Gunst, Mathisca C. M. 1 Diaconis, Persi Warren 1 Du, Ruofei 1 Dudoit, Sandrine 1 El Karoui, Nicole 1 Fan, Jianquin 1 Fang, Zhide 1 Feldman, Lewis J. 1 Ferguson, Thomas S. ...and 154 more Co-Authors
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### Serials

 50 The Annals of Statistics 16 Annals of Mathematical Statistics 9 Statistica Sinica 9 The Annals of Applied Statistics 6 Journal of the American Statistical Association 6 Proceedings of the National Academy of Sciences of the United States of America 4 Statistical Science 3 International Statistical Review 3 Journal of Statistical Planning and Inference 3 Sankhyā. Series A. Methods and Techniques 3 Bernoulli 3 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Scandinavian Journal of Statistics 2 The Annals of Probability 2 Probability and Mathematical Statistics 2 Test 2 Chapman & Hall/CRC Texts in Statistical Science Series 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Israel Journal of Mathematics 1 Psychometrika 1 Russian Mathematical Surveys 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Theory of Probability and its Applications 1 Biometrika 1 Journal of Econometrics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 IEEE Transactions on Signal Processing 1 Notices of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Computational Statistics and Data Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Extremes 1 Probability in the Engineering and Informational Sciences 1 Mathematical Geology 1 Journal of Machine Learning Research (JMLR) 1 Statistical Applications in Genetics and Molecular Biology 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Johns Hopkins Series in the Mathematical Sciences 1 Lecture Notes in Mathematics 1 Electronic Journal of Statistics 1 Sankhyā. Series A 1 Frontiers in Probability and the Statistical Sciences
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### Fields

 167 Statistics (62-XX) 34 Probability theory and stochastic processes (60-XX) 13 Numerical analysis (65-XX) 9 History and biography (01-XX) 9 Biology and other natural sciences (92-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

159 Publications have been cited 6,850 times in 5,263 Documents Cited by Year
Simultaneous analysis of Lasso and Dantzig selector. Zbl 1173.62022
Bickel, Peter J.; Ritov, Ya’acov; Tsybakov, Alexandre B.
2009
Efficient and adaptive estimation for semiparametric models. Zbl 0786.62001
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya’acov; Wellner, Jon A.
1993
Some asymptotic theory for the bootstrap. Zbl 0449.62034
Bickel, Peter J.; Freedman, David
1981
On some global measures of the deviations of density function estimates. Zbl 0275.62033
Bickel, P. J.; Rosenblatt, M.
1973
Sure independence screening for ultrahigh dimensional feature space. With discussion and authors’ reply. Zbl 1411.62187
Fan, Jianqing; Lv, Jinchi
2008
Regularized estimation of large covariance matrices. Zbl 1132.62040
Bickel, Peter J.; Levina, Elizaveta
2008
Covariance regularization by thresholding. Zbl 1196.62062
Bickel, Peter J.; Levina, Elizaveta
2008
Mathematical statistics. Basic ideas and selected topics. Zbl 0403.62001
Bickel, Peter J.; Doksum, Kjell A.
1977
Convergence criteria for multiparameter stochastic processes and some applications. Zbl 0265.60011
Bickel, P. J.; Wichura, M. J.
1971
Robust estimates of location. Survey and advances. Zbl 0254.62001
Andrews, D. F.; Bickel, P. J.; Hampel, F. R.; Huber, P. J.; Rogers, W. H.; Tukey, J. W.
1972
Sparse permutation invariant covariance estimation. Zbl 1320.62135
Rothman, Adam J.; Bickel, Peter J.; Levina, Elizaveta; Zhu, Ji
2008
Bickel, P. J.
1982
A nonparametric view of network models and Newman-Girvan and other modularities. Zbl 1359.62411
Bickel, Peter J.; Chen, Aiyou
2009
Some theory for Fisher’s linear discriminant function, ‘naive Bayes’, and some alternatives when there are many more variables than observations. Zbl 1064.62073
Bickel, Peter J.; Levina, Elizaveta
2004
Efficient and adaptive estimation for semiparametric models. Zbl 0894.62005
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya’acov; Wellner, Jon A.
1998
An analysis of transformations revisited. Zbl 0464.62058
Bickel, Peter J.; Doksum, Kjell A.
1981
One-step Huber estimates in the linear model. Zbl 0322.62038
Bickel, P. J.
1975
Resampling fewer than $$n$$ observations: gains, losses, and remedies for losses. Zbl 0927.62043
Bickel, P. J.; Götze, F.; van Zwet, W. R.
1997
Descriptive statistics for non-parametric models. III: Dispersion. Zbl 0351.62031
Bickel, P. J.; Lehmann, E. L.
1976
Estimating integrated squared density derivatives: Sharp best order of convergence estimates. Zbl 0676.62037
Bickel, P. J.; Ritov, Y.
1988
Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models. Zbl 0932.62097
Bickel, Peter J.; Ritov, Ya’acov; Rydén, Tobias
1998
Pseudo-likelihood methods for community detection in large sparse networks. Zbl 1277.62166
Amini, Arash A.; Chen, Aiyou; Bickel, Peter J.; Levina, Elizaveta
2013
Descriptive statistics for nonparametric models IV. Spread. Zbl 0415.62015
Bickel, P. J.; Lehmann, E. L.
1979
Asymptotically optimal Bayes and minimax procedures in sequential estimation. Zbl 0187.16303
Bickel, P. J.; Yahav, J. A.
1968
The Edgeworth expansion for U-statistics of degree two. Zbl 0614.62015
Bickel, P. J.; Götze, F.; van Zwet, W. R.
1986
A decomposition for the likelihood ratio statistic and the Bartlett correction - a Bayesian argument. Zbl 0727.62035
Bickel, Peter J.; Ghosh, J. K.
1990
Minimax estimation of the mean of a normal distribution when the parameter space is restricted. Zbl 0484.62013
Bickel, P. J.
1981
Descriptive statistics for nonparametric models. II: Location. Zbl 0321.62055
Bickel, P. J.; Lehmann, E. L.
1975
Tests for monotone failure rate based on normalized spacings. Zbl 0191.50504
Bickel, P. J.; Doksum, K. A.
1969
The method of moments and degree distributions for network models. Zbl 1232.91577
Bickel, Peter J.; Chen, Aiyou; Levina, Elizaveta
2011
Goodness-of-fit tests for kernel regression with an application to option implied volatilities. Zbl 1004.62042
Aït-Sahalia, Yacine; Bickel, Peter J.; Stoker, Thomas M.
2001
Curse-of-dimensionality revisited: collapse of the particle filter in very large scale systems. Zbl 1166.93376
Bengtsson, Thomas; Bickel, Peter; Li, Bo
2008
Asymptotic normality of maximum likelihood and its variational approximation for stochastic blockmodels. Zbl 1292.62042
Bickel, Peter; Choi, David; Chang, Xiangyu; Zhang, Hai
2013
Edgeworth expansions in nonparametric statistics. Zbl 0284.62018
Bickel, P. J.
1974
Asymptotic expansions for the power of distribution free tests in the one-sample problem. Zbl 0321.62049
Albers, Willem; Bickel, P. J.; van Zwet, W. R.
1976
On some robust estimates of location. Zbl 0192.25802
Bickel, P. J.
1965
Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test. Zbl 0502.62045
Bickel, Peter J.; Breiman, Leo
1983
Using residuals robustly I: Tests for heteroscedasticity, nonlinearity. Zbl 0385.62029
Bickel, P. J.
1978
A distribution free version of the Smirnov two sample test in the p- variate case. Zbl 0179.48704
Bickel, P. J.
1969
What is a statistical model? (With comments and rejoinder). Zbl 1039.62003
McCullagh, Peter
2002
On the choice of $$m$$ in the $$m$$ out of $$n$$ bootstrap and confidence bounds for extrema. Zbl 05361940
Bickel, Peter J.; Sakov, Anat
2008
Some contributions to the asymptotic theory of Bayes solutions. Zbl 0167.17706
Bickel, P. J.; Yahav, J. A.
1969
Inference for semiparametric models: Some questions and an answer. (With comments). Zbl 0997.62028
Bickel, Peter J.; Kwon, Jaimyoung
2001
The semiparametric Bernstein-von Mises theorem. Zbl 1246.62081
Bickel, P. J.; Kleijn, B. J. K.
2012
Nonparametric estimators which can be “plugged-in”. Zbl 1058.62031
Bickel, Peter J.; Ritov, Ya’acov
2003
Mathematical statistics. Basic ideas and selected topics. Volume I. 2nd ed. Zbl 1380.62002
Bickel, Peter J.; Doksum, Kjell A.
2015
Asymptotic expansions for the power of distributionfree tests in the two- sample problem. Zbl 0378.62047
Bickel, P. J.; van Zwet, W. R.
1978
Achieving information bounds in non and semiparametric models. Zbl 0722.62025
Ritov, Y.; Bickel, P. J.
1990
Descriptive statistics for nonparametric models. I: Introduction. Zbl 0321.62054
Bickel, P. J.; Lehmann, E. L.
1975
Asymptotic normality and the bootstrap in stratified sampling. Zbl 0542.62009
Bickel, P. J.; Freedman, D. A.
1984
On robust regression with high-dimensional predictors. Zbl 1359.62184
El Karoui, Noureddine; Bean, Derek; Bickel, Peter J.; Lim, Chinghway; Yu, Bin
2013
Tailor-made tests for goodness of fit to semiparametric hypotheses. Zbl 1092.62050
Bickel, Peter J.; Ritov, Ya’acov; Stoker, Thomas M.
2006
Efficient estimation in the errors in variables model. Zbl 0643.62029
Bickel, P. J.; Ritov, Y.
1987
Inference in hidden Markov models. I: Local asymptotic normality in the stationary case. Zbl 1066.62535
Bickel, Peter J.; Ritov, Ya’acov
1996
Hypothesis testing for automated community detection in networks. Zbl 1411.62162
Bickel, Peter J.; Sarkar, Purnamrita
2016
Asymptotically pointwise optimal procedures in sequential analysis. Zbl 0214.45105
Bickel, P. J.; Yahav, J. A.
1967
A new mixing notion and functional central limit theorems for a sieve bootstrap in time series. Zbl 0954.62102
Bickel, Peter J.; Bühlmann, Peter
1999
Robustness of design against autocorrelation in time I: Asymptotic theory, optimality for location and linear regression. Zbl 0403.62051
Bickel, P. J.; Herzberg, Agnes M.
1979
On a semiparametric survival model with flexible covariate effect. Zbl 0953.62107
Nielsen, Jens P.; Linton, Oliver; Bickel, Peter J.
1998
On some analogues to linear combinations of order statistics in the linear model. Zbl 0265.62021
Bickel, P. J.
1973
Tests for monotone failure rate. II. Zbl 0191.50601
Bickel, P. J.
1969
Some contributions to the theory of order statistics. Zbl 0214.46602
Bickel, P. J.
1967
Likelihood-based model selection for stochastic block models. Zbl 1371.62017
Wang, Y. X. Rachel; Bickel, Peter J.
2017
Efficient independent component analysis. Zbl 1114.62033
Chen, Aiyou; Bickel, Peter J.
2006
Regularization in statistics. Zbl 1110.62051
Bickel, Peter J.; Li, Bo
2006
Efficient estimation of linear functionals of a probability measure $$P$$ with known marginal distributions. Zbl 0742.62034
Bickel, Peter J.; Ritov, Ya’acov; Wellner, Jon A.
1991
Role of normalization in spectral clustering for stochastic blockmodels. Zbl 1320.62150
Sarkar, Purnamrita; Bickel, Peter J.
2015
On some asymptotically nonparametric competitors of Hotelling’s $$T^ 2$$. Zbl 0138.13205
Bickel, P. J.
1965
Estimation in semiparametric models. Zbl 0795.62027
Bickel, P. J.
1993
Some problems on the estimation of unimodal densities. Zbl 0840.62038
Bickel, Peter J.; Fan, Jianquin
1996
On efficiency of first and second order. Zbl 0469.62038
Bickel, P. J.; Chibisov, D. M.; van Zwet, W. R.
1981
Bootstrapping regression models with many parameters. Zbl 0529.62057
Bickel, P. J.; Freedman, D. A.
1983
Parametric robustness: Small biases can be worthwhile. Zbl 0545.62028
Bickel, P. J.
1984
Texture synthesis and nonparametric resampling of random fields. Zbl 1246.62194
Levina, Elizaveta; Bickel, Peter J.
2006
Robust regression based on infinitesimal neighbourhoods. Zbl 0567.62051
Bickel, P. J.
1984
An Edgeworth expansion for the $$m$$ out of $$n$$ bootstrapped median. Zbl 0969.62014
Sakov, Anat; Bickel, Peter J.
2000
Consistent independent component analysis and prewhitening. Zbl 1373.62292
Chen, Aiyou; Bickel, Peter J.
2005
Regression on manifolds: estimation of the exterior derivative. Zbl 1209.62063
Aswani, Anil; Bickel, Peter; Tomlin, Claire
2011
On some alternative estimates for shift in the P-variate on sample problem. Zbl 0214.45804
Bickel, P. J.
1964
Robustness of design against autocorrelation in time. II: Optimality, theoretical and numerical results for the first-order autoregressive process. Zbl 0505.62063
Bickel, P. J.; Herzberg, Agnes M.; Schilling, M. F.
1981
Another look at robustness: A review of reviews and some new developments. Zbl 0343.62039
Bickel, Peter J.
1976
Renewal theory in the plane. Zbl 0138.40702
Bickel, P. J.; Yahav, J. A.
1965
The bootstrap in hypothesis testing. Zbl 1380.62183
Bickel, Peter J.; Ren, Jian-Jian
2001
Subsampling bootstrap of count features of networks. Zbl 1326.62067
Bhattacharyya, Sharmodeep; Bickel, Peter J.
2015
Banded regularization of autocovariance matrices in application to parameter estimation and forecasting of time series. Zbl 1228.62106
Bickel, Peter J.; Gel, Yulia R.
2011
Two-dimensional random fields. Zbl 0297.60020
Bickel, P.; Rosenblatt, M.
1973
On an A.P.O. rule in sequential estimation with quadratic loss. Zbl 0175.17004
Bickel, Peter J.; Yahav, Joseph A.
1969
Unbiased estimation in convex families. Zbl 0197.44602
Bickel, P. J.; Lehmann, E. L.
1969
Some theory for generalized boosting algorithms. Zbl 1222.68148
Bickel, Peter J.; Ritov, Ya’acov; Zakai, Alon
2006
Inference and auditing: The Stringer bound. Zbl 0755.62039
Bickel, Peter J.
1992
Closure of linear processes. Zbl 0890.60033
Bickel, Peter J.; Bühlmann, Peter
1997
Variable selection in nonparametric regression with categorical covariates. Zbl 0763.62019
Bickel, Peter; Zhang, Ping
1992
Richardson extrapolation and the bootstrap. Zbl 0664.62014
Bickel, Peter J.; Yahav, Joseph A.
1988
Confidence bands for a distribution function using the bootstrap. Zbl 0695.62126
Bickel, P. J.; Krieger, A. M.
1989
Minimax estimation of the mean of a normal distribution subject to doing well at a point. Zbl 0545.62029
Bickel, P. J.
1983
Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics. Zbl 1241.60017
Bickel, Peter John; Lindner, Marko
2012
Nonparametric inference under biased sampling from a finite population. Zbl 0767.62032
Bickel, Peter J.; Nair, Vijayan N.; Wang, Paul C. C.
1992
Uniform convergence of probability measures on classes of functions. Zbl 0821.60002
Bickel, P. J.; Millar, P. W.
1992
The $$m$$ out of $$n$$ bootstrap and goodness of fit tests with double censored data. Zbl 0839.62054
Bickel, Peter J.; Ren, Jian-Jian
1996
Quelques aspects de la statistique robuste. Zbl 0484.62053
Bickel, P. J.
1981
Willem van Zwet’s research. Zbl 1479.01011
Bickel, Peter; Fiocco, Marta; De Gunst, Mathisca; Götze, Friedrich
2021
Network modelling of topological domains using Hi-C data. Zbl 1433.62318
Wang, Y. X. Rachel; Sarkar, Purnamrita; Ursu, Oana; Kundaje, Anshul; Bickel, Peter J.
2019
Asymptotics for high dimensional regression $$M$$-estimates: fixed design results. Zbl 1406.62084
Lei, Lihua; Bickel, Peter J.; El Karoui, Noureddine
2018
Projection pursuit in high dimensions. Zbl 1416.62320
Bickel, Peter J.; Kur, Gil; Nadler, Boaz
2018
Likelihood-based model selection for stochastic block models. Zbl 1371.62017
Wang, Y. X. Rachel; Bickel, Peter J.
2017
Hypothesis testing for automated community detection in networks. Zbl 1411.62162
Bickel, Peter J.; Sarkar, Purnamrita
2016
Mathematical statistics. Basic ideas and selected topics. Volume II. 2nd edition. Zbl 1397.62003
Bickel, Peter J.; Doksum, Kjell A.
2016
Spectral clustering and block models: a review and a new algorithm. Zbl 1381.62152
Bhattacharyya, Sharmodeep; Bickel, Peter J.
2016
Mathematical statistics. Basic ideas and selected topics. Volume I. 2nd ed. Zbl 1380.62002
Bickel, Peter J.; Doksum, Kjell A.
2015
Role of normalization in spectral clustering for stochastic blockmodels. Zbl 1320.62150
Sarkar, Purnamrita; Bickel, Peter J.
2015
Subsampling bootstrap of count features of networks. Zbl 1326.62067
Bhattacharyya, Sharmodeep; Bickel, Peter J.
2015
Inferring gene-gene interactions and functional modules using sparse canonical correlation analysis. Zbl 1454.62416
Wang, Y. X. Rachel; Jiang, Keni; Feldman, Lewis J.; Bickel, Peter J.; Huang, Haiyan
2015
Correction to the proof of consistency of community detection. Zbl 1310.62109
Bickel, Peter J.; Chen, Aiyou; Zhao, Yunpeng; Levina, Elizaveta; Zhu, Ji
2015
The Bayesian analysis of complex, high-dimensional models: can it be CODA? Zbl 1331.62162
Ritov, Y.; Bickel, P. J.; Gamst, A. C.; Kleijn, B. J. K.
2014
Statistical analysis of next generation sequencing data. Zbl 1296.92001
2014
Pseudo-likelihood methods for community detection in large sparse networks. Zbl 1277.62166
Amini, Arash A.; Chen, Aiyou; Bickel, Peter J.; Levina, Elizaveta
2013
Asymptotic normality of maximum likelihood and its variational approximation for stochastic blockmodels. Zbl 1292.62042
Bickel, Peter; Choi, David; Chang, Xiangyu; Zhang, Hai
2013
On robust regression with high-dimensional predictors. Zbl 1359.62184
El Karoui, Noureddine; Bean, Derek; Bickel, Peter J.; Lim, Chinghway; Yu, Bin
2013
On convergence of recursive Monte Carlo filters in non-compact state spaces. Zbl 1259.62086
Lei, Jing; Bickel, Peter
2013
The semiparametric Bernstein-von Mises theorem. Zbl 1246.62081
Bickel, P. J.; Kleijn, B. J. K.
2012
Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics. Zbl 1241.60017
Bickel, Peter John; Lindner, Marko
2012
Resampling fewer than $$n$$ observations: gains, losses, and remedies for losses. Zbl 1373.62173
Bickel, P. J.; Götze, F.; van Zwet, W. R.
2012
A model for sequential evolution of ligands by exponential enrichment (SELEX) data. Zbl 1254.92025
Atherton, Juli; Boley, Nathan; Brown, Ben; Ogawa, Nobuo; Davidson, Stuart M.; Eisen, Michael B.; Biggin, Mark D.; Bickel, Peter
2012
The method of moments and degree distributions for network models. Zbl 1232.91577
Bickel, Peter J.; Chen, Aiyou; Levina, Elizaveta
2011
Regression on manifolds: estimation of the exterior derivative. Zbl 1209.62063
Aswani, Anil; Bickel, Peter; Tomlin, Claire
2011
Banded regularization of autocovariance matrices in application to parameter estimation and forecasting of time series. Zbl 1228.62106
Bickel, Peter J.; Gel, Yulia R.
2011
Measuring reproducibility of high-throughput experiments. Zbl 1231.62124
Li, Qunhua; Brown, James B.; Huang, Haiyan; Bickel, Peter J.
2011
A tribute to David Blackwell. Zbl 1225.01082
Bhattacharjee, Manish; Lockhart, Richard; Rolph, John; Tucker, Howard; Wets, Roger J.-B.; Bickel, Peter; Ferguson, Thomas S.; Lo, Albert; Puri, Madan L.; Stigler, Stephen; Sudderth, W.; Yatracos, Yannis; Brillinger, David; Goodman, Leo A.; Shaffer, Juliet; Chernoff, Herman; Diaconis, Persi; Rosenblatt, Murray; Samaniego, Francisco J.
2011
Subsampling methods for genomic inference. Zbl 1220.62130
Bickel, Peter J.; Boley, Nathan; Brown, James B.; Huang, Haiyan; Zhang, Nancy R.
2010
Simultaneous analysis of Lasso and Dantzig selector. Zbl 1173.62022
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Tsybakov, Alexandre B.
2009
A nonparametric view of network models and Newman-Girvan and other modularities. Zbl 1359.62411
Bickel, Peter J.; Chen, Aiyou
2009
An overview of recent developments in genomics and associated statistical methods. Zbl 1185.62184
Bickel, Peter J.; Brown, James B.; Huang, Haiyan; Li, Qunhua
2009
Efficient blind search: optimal power of detection under computational cost constraints. Zbl 1161.62087
Meinshausen, Nicolai; Bickel, Peter; Rice, John
2009
Discussion of: Brownian distance covariance. Zbl 1454.62171
Bickel, Peter J.; Xu, Ying
2009
Sure independence screening for ultrahigh dimensional feature space. With discussion and authors’ reply. Zbl 1411.62187
Fan, Jianqing; Lv, Jinchi
2008
Regularized estimation of large covariance matrices. Zbl 1132.62040
Bickel, Peter J.; Levina, Elizaveta
2008
Covariance regularization by thresholding. Zbl 1196.62062
Bickel, Peter J.; Levina, Elizaveta
2008
Sparse permutation invariant covariance estimation. Zbl 1320.62135
Rothman, Adam J.; Bickel, Peter J.; Levina, Elizaveta; Zhu, Ji
2008
Curse-of-dimensionality revisited: collapse of the particle filter in very large scale systems. Zbl 1166.93376
Bengtsson, Thomas; Bickel, Peter; Li, Bo
2008
On the choice of $$m$$ in the $$m$$ out of $$n$$ bootstrap and confidence bounds for extrema. Zbl 05361940
Bickel, Peter J.; Sakov, Anat
2008
Sparsity and the possibility of inference. Zbl 1192.62113
Bickel, Peter J.; Yan, Donghui
2008
Random matrix theory: A program of the statistics and applied mathematical sciences institute (SAMSI). Zbl 1154.15311
Bickel, Peter
2008
Tailor-made tests for goodness of fit to semiparametric hypotheses. Zbl 1092.62050
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Stoker, Thomas M.
2006
Efficient independent component analysis. Zbl 1114.62033
Chen, Aiyou; Bickel, Peter J.
2006
Regularization in statistics. Zbl 1110.62051
Bickel, Peter J.; Li, Bo
2006
Texture synthesis and nonparametric resampling of random fields. Zbl 1246.62194
Levina, Elizaveta; Bickel, Peter J.
2006
Some theory for generalized boosting algorithms. Zbl 1222.68148
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Zakai, Alon
2006
Consistent independent component analysis and prewhitening. Zbl 1373.62292
Chen, Aiyou; Bickel, Peter J.
2005
Nonparametric testing of an exclusion restriction. Zbl 1119.62039
Bickel, Peter J.; Ritov, Ya&rsquo;akov; Stoker, Thomas M.
2005
Some theory for Fisher’s linear discriminant function, ‘naive Bayes’, and some alternatives when there are many more variables than observations. Zbl 1064.62073
Bickel, Peter J.; Levina, Elizaveta
2004
An approximate likelihood approach to nonlinear mixed effects models via spline approximation. Zbl 1429.62278
Ge, Zhiyu; Bickel, Peter J.; Rice, John A.
2004
Nonparametric estimators which can be “plugged-in”. Zbl 1058.62031
Bickel, Peter J.; Ritov, Ya&rsquo;acov
2003
The limit distribution of a test statistic for bivariate normality. Zbl 1015.62062
Kim, Namhyun; Bickel, Peter J.
2003
What is a statistical model? (With comments and rejoinder). Zbl 1039.62003
McCullagh, Peter
2002
Hidden Markov model likelihoods and their derivatives behave like i. i. d. ones. (La vraisemblance des chaînes de Markov cachées se comporte comme celle des variables i. i. d.). Zbl 1011.62087
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Rydén, Tobias
2002
Extrapolation and the bootstrap. Zbl 1192.62125
Bickel, Peter J.; Sakov, Anat
2002
Workshop on statistical approaches for the evaluation of complex computer models. Zbl 1032.62102
Berk, Richard A.; Bickel, Peter; Campbell, Katherine; Fovell, Robert; Keller-McNulty, Sallie; Kelly, Elizabeth; Linn, Rodman; Park, Byungkyu; Perelson, Alan; Rouphail, Nagui; Sacks, Jerome; Schoenberg, Frederic
2002
Goodness-of-fit tests for kernel regression with an application to option implied volatilities. Zbl 1004.62042
Aït-Sahalia, Yacine; Bickel, Peter J.; Stoker, Thomas M.
2001
Inference for semiparametric models: Some questions and an answer. (With comments). Zbl 0997.62028
Bickel, Peter J.; Kwon, Jaimyoung
2001
The bootstrap in hypothesis testing. Zbl 1380.62183
Bickel, Peter J.; Ren, Jian-Jian
2001
On maximizing item information and matching difficulty with ability. Zbl 1293.62235
Bickel, Peter; Buyske, Steven; Chang, Huahua; Ying, Zhiliang
2001
An Edgeworth expansion for the $$m$$ out of $$n$$ bootstrapped median. Zbl 0969.62014
Sakov, Anat; Bickel, Peter J.
2000
Hybrid resampling methods for confidence intervals. (With comments and rejoinder). Zbl 0976.62040
Chuang, Chin-Shan; Lai, Tze Leung
2000
Non- and semiparametric statistics: compared and contrasted. Zbl 0970.62017
Bickel, P. J.; Ritov, Y.
2000
A new mixing notion and functional central limit theorems for a sieve bootstrap in time series. Zbl 0954.62102
Bickel, Peter J.; Bühlmann, Peter
1999
Efficient and adaptive estimation for semiparametric models. Zbl 0894.62005
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya&rsquo;acov; Wellner, Jon A.
1998
Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models. Zbl 0932.62097
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Rydén, Tobias
1998
On a semiparametric survival model with flexible covariate effect. Zbl 0953.62107
Nielsen, Jens P.; Linton, Oliver; Bickel, Peter J.
1998
Resampling fewer than $$n$$ observations: gains, losses, and remedies for losses. Zbl 0927.62043
Bickel, P. J.; Götze, F.; van Zwet, W. R.
1997
Closure of linear processes. Zbl 0890.60033
Bickel, Peter J.; Bühlmann, Peter
1997
Local asymptotic normality of ranks and covariates in transformation models. Zbl 0897.62017
Bickel, P. J.; Ritov, Y.
1997
Singly and doubly censored current status data: Estimation, asymptotics and regression. Zbl 0929.62110
Van der Laan, Mark J.; Bickel, Peter J.; Jewell, Nicholas P.
1997
Inference in hidden Markov models. I: Local asymptotic normality in the stationary case. Zbl 1066.62535
Bickel, Peter J.; Ritov, Ya&rsquo;acov
1996
Some problems on the estimation of unimodal densities. Zbl 0840.62038
Bickel, Peter J.; Fan, Jianquin
1996
The $$m$$ out of $$n$$ bootstrap and goodness of fit tests with double censored data. Zbl 0839.62054
Bickel, Peter J.; Ren, Jian-Jian
1996
What is a linear process? Zbl 0863.62074
Bickel, Peter J.; Bühlmann, Peter
1996
Efficient and adaptive estimation for semiparametric models. Zbl 0786.62001
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya&rsquo;acov; Wellner, Jon A.
1993
Estimation in semiparametric models. Zbl 0795.62027
Bickel, P. J.
1993
Efficient estimation using both direct and indirect observations. Zbl 0816.62032
Bickel, P. J.; Ritov, Y.
1993
Inference and auditing: The Stringer bound. Zbl 0755.62039
Bickel, Peter J.
1992
Variable selection in nonparametric regression with categorical covariates. Zbl 0763.62019
Bickel, Peter; Zhang, Ping
1992
Nonparametric inference under biased sampling from a finite population. Zbl 0767.62032
Bickel, Peter J.; Nair, Vijayan N.; Wang, Paul C. C.
1992
Uniform convergence of probability measures on classes of functions. Zbl 0821.60002
Bickel, P. J.; Millar, P. W.
1992
Theoretical comparison of different bootstrap $$t$$ confidence bounds. Zbl 0838.62033
Bickel, P. J.
1992
Efficient estimation of linear functionals of a probability measure $$P$$ with known marginal distributions. Zbl 0742.62034
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Wellner, Jon A.
1991
Large sample theory of estimation in biased sampling regression models. I. Zbl 0742.62036
Bickel, Peter J.; Ritov, J.
1991
A decomposition for the likelihood ratio statistic and the Bartlett correction - a Bayesian argument. Zbl 0727.62035
Bickel, Peter J.; Ghosh, J. K.
1990
Achieving information bounds in non and semiparametric models. Zbl 0722.62025
Ritov, Y.; Bickel, P. J.
1990
Hyperaccuracy of bootstrap based prediction. Zbl 0708.62038
Bai, Chongen; Bickel, Peter J.; Olshen, Richard A.
1990
Confidence bands for a distribution function using the bootstrap. Zbl 0695.62126
Bickel, P. J.; Krieger, A. M.
1989
Estimating integrated squared density derivatives: Sharp best order of convergence estimates. Zbl 0676.62037
Bickel, P. J.; Ritov, Y.
1988
Richardson extrapolation and the bootstrap. Zbl 0664.62014
Bickel, Peter J.; Yahav, Joseph A.
1988
Efficient estimation in the errors in variables model. Zbl 0643.62029
Bickel, P. J.; Ritov, Y.
1987
Efficient testing in a class of transformation models: An outline. Zbl 0729.62018
Bickel, P. J.
1987
The Edgeworth expansion for U-statistics of degree two. Zbl 0614.62015
Bickel, P. J.; Götze, F.; van Zwet, W. R.
1986
Empirical Bayes estimation in functional and structural models, and uniformly adaptive estimation of location. Zbl 0609.62044
Bickel, P. J.; Klaassen, C. A. J.
1986
A simple analysis of third-order efficiency of estimates. Zbl 1373.62093
Bickel, Peter J.; Götze, Friedrich; van Zwet, W. R.
1985
Asymptotic normality and the bootstrap in stratified sampling. Zbl 0542.62009
Bickel, P. J.; Freedman, D. A.
1984
Parametric robustness: Small biases can be worthwhile. Zbl 0545.62028
Bickel, P. J.
1984
Robust regression based on infinitesimal neighbourhoods. Zbl 0567.62051
Bickel, P. J.
1984
...and 59 more Documents
all top 5

### Cited by 6,068 Authors

 49 Fan, Jianqing 39 Bickel, Peter John 34 Bühlmann, Peter 32 Schick, Anton 27 Van de Geer, Sara Anna 26 Cai, Tony Tony 26 Hall, Peter Gavin 24 Dette, Holger 24 Hallin, Marc 23 Wefelmeyer, Wolfgang 22 Lian, Heng 21 Levina, Elizaveta 21 Priebe, Carey E. 20 Van der Vaart, Adrianus Willem 19 Liu, Han 19 Ma, Yanyuan 19 Tsybakov, Alexandre B. 18 Härdle, Wolfgang Karl 18 Linton, Oliver Bruce 18 Park, Byeong Uk 18 Van Keilegom, Ingrid 17 Bouzebda, Salim 17 Hwang, Leng-Cheng 17 Li, Runze 17 Politis, Dimitris Nicolas 16 Huang, Jian 16 Mukerjee, Rahul 16 Zhu, Ji 15 Horváth, Lajos 15 Klaassen, Chris A. J. 15 Leng, Chenlei 15 Ritov, Ya’acov 15 Wu, Wei Biao 15 Zhou, Harrison H. 14 Cheng, Guang 14 Lahiri, Soumendra Nath 14 Lee, Sangyeol 14 Matrán, Carlos 14 Van der Laan, Mark Johannes 14 Wainwright, Martin J. 14 Zhang, Cun-Hui 13 Gel, Yulia R. 13 Ghosal, Subhashis 13 Ghosh, Malay 13 Müller, Ursula U. 13 Nickl, Richard 13 Wasserman, Larry Alan 13 Yang, Lijian 12 Ahmad, Ibrahim A. 12 Dalalyan, Arnak S. 12 del Barrio, Eustasio 12 Doukhan, Paul 12 Giné-Masdéu, Evarist 12 Jing, Bingyi 12 Kolchinskiĭ, Vladimir I’ich 12 Sordo, Miguel Ángel 12 Werker, Bas J. M. 12 Zhu, Lixing 12 Zou, Hui 11 Bradic, Jelena 11 Cheng, Fuxia 11 Cuesta-Albertos, Juan Antonio 11 Fan, Yingying 11 Gijbels, Irène 11 Hu, Tao 11 Lu, Xuewen 11 Mammen, Enno 11 Rousseeuw, Peter J. 11 Sun, Jianguo 11 Verzelen, Nicolas 11 Víšek, Jan Ámos 11 Wang, Yazhen 11 Wellner, Jon August 11 Yuan, Ao 11 Yuan, Ming 10 Carroll, Raymond James 10 Chernozhukov, Victor 10 El Karoui, Noureddine 10 Gao, Chao 10 Ghosh, Jayanta Kumar 10 Götze, Friedrich 10 Han, Fang 10 Holzmann, Hajo 10 Janssen, Paul 10 Jurečková, Jana 10 Kabaila, Paul V. 10 Kochar, Subhash C. 10 Kosorok, Michael R. 10 Koul, Hira Lal 10 Liang, Hua 10 Liu, Yufeng 10 Paindaveine, Davy 10 Paparoditis, Efstathios 10 Sen, Bodhisattva 10 Sen, Pranab Kumar 10 Shao, Jun 10 Veraverbeke, Noël 10 Yu, Bin 10 Zhou, Yong 9 Arias-Castro, Ery ...and 5,968 more Authors
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### Cited in 353 Serials

 558 The Annals of Statistics 277 Journal of Statistical Planning and Inference 269 Journal of Multivariate Analysis 265 Statistics & Probability Letters 248 Journal of Econometrics 222 Communications in Statistics. Theory and Methods 208 Electronic Journal of Statistics 202 Computational Statistics and Data Analysis 141 Bernoulli 116 Annals of the Institute of Statistical Mathematics 105 Journal of the American Statistical Association 98 Journal of Nonparametric Statistics 78 The Canadian Journal of Statistics 76 Communications in Statistics. Simulation and Computation 74 Statistics 71 Journal of Statistical Computation and Simulation 67 Statistical Science 67 Econometric Theory 63 Stochastic Processes and their Applications 58 Scandinavian Journal of Statistics 57 Probability Theory and Related Fields 57 The Annals of Applied Statistics 54 Metrika 54 Test 51 Journal of Machine Learning Research (JMLR) 48 Biometrics 45 Sequential Analysis 41 Econometric Reviews 37 Statistical Papers 36 Journal of Applied Statistics 35 Statistics and Computing 32 Statistica Sinica 31 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 29 Journal of the Royal Statistical Society. Series B. Statistical Methodology 29 Journal of the Korean Statistical Society 27 Insurance Mathematics & Economics 27 Mathematical Methods of Statistics 25 Kybernetika 24 Computational Statistics 24 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 24 Sankhyā. Series A 22 Journal of Time Series Analysis 22 Journal of Computational and Graphical Statistics 19 Psychometrika 19 Biometrical Journal 19 Statistica Neerlandica 19 Lifetime Data Analysis 19 Journal of Statistical Theory and Practice 18 The Annals of Applied Probability 18 Science China. Mathematics 17 Economics Letters 16 Neural Computation 16 Journal of Mathematical Sciences (New York) 15 The Annals of Probability 15 Journal of Theoretical Probability 14 Lithuanian Mathematical Journal 14 Machine Learning 14 Statistical Inference for Stochastic Processes 14 Bayesian Analysis 13 Acta Mathematicae Applicatae Sinica. English Series 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Statistical Methods and Applications 12 European Journal of Operational Research 11 Pattern Recognition 11 Journal of Systems Science and Complexity 10 Applied Mathematics and Computation 10 Journal of Soviet Mathematics 10 Mathematical Programming. Series A. Series B 10 Applied and Computational Harmonic Analysis 10 Australian & New Zealand Journal of Statistics 10 Statistical Methodology 10 Statistical Analysis and Data Mining 9 Journal of Applied Probability 9 Journal of Computational and Applied Mathematics 9 Linear Algebra and its Applications 9 Proceedings of the National Academy of Sciences of the United States of America 9 AStA. Advances in Statistical Analysis 8 Advances in Applied Probability 8 Journal of Computational Physics 8 Journal of the Franklin Institute 8 American Journal of Mathematical and Management Sciences 8 The Econometrics Journal 8 Acta Mathematica Sinica. English Series 8 Methodology and Computing in Applied Probability 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Advances in Data Analysis and Classification. ADAC 7 Automatica 7 Science in China. Series A 7 Extremes 7 Brazilian Journal of Probability and Statistics 7 Quantitative Finance 7 Statistical Modelling 7 ASTIN Bulletin 7 Sankhyā. Series B 7 Random Matrices: Theory and Applications 7 SIAM Journal on Mathematics of Data Science 6 Computers & Mathematics with Applications 6 Journal of Mathematical Analysis and Applications 6 Journal of Mathematical Psychology 6 Metron ...and 253 more Serials
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### Cited in 51 Fields

 4,770 Statistics (62-XX) 911 Probability theory and stochastic processes (60-XX) 564 Numerical analysis (65-XX) 239 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 182 Computer science (68-XX) 162 Operations research, mathematical programming (90-XX) 122 Combinatorics (05-XX) 122 Biology and other natural sciences (92-XX) 86 Information and communication theory, circuits (94-XX) 60 Linear and multilinear algebra; matrix theory (15-XX) 51 Systems theory; control (93-XX) 38 Functional analysis (46-XX) 24 History and biography (01-XX) 17 Approximations and expansions (41-XX) 17 Geophysics (86-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Operator theory (47-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Measure and integration (28-XX) 11 Quantum theory (81-XX) 9 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 7 Convex and discrete geometry (52-XX) 6 Fluid mechanics (76-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 4 Integral equations (45-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mathematics education (97-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

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